Hot dweets by u/taupelink

function u(t) {

c.width=1920 // clear the canvas
for(i=0;i<9;i++)
x.fillRect(400+i*100+S(t)*300,400,50,200) // draw 50x200 rects

} // 122/140

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    u(t) is called 60 times per second.
    t: Elapsed time in seconds.
    S: Shorthand for Math.sin.
    C: Shorthand for Math.cos.
    T: Shorthand for Math.tan.
    R: Function that generates rgba-strings, usage ex.: R(255, 255, 255, 0.5)
    c: A 1920x1080 canvas.
    x: A 2D context for that canvas.

Try the new frontend: beta.dwitter.net
Current theme challenge: #Food

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taupelink

function u(t) {

for(i=m=1080,X=Y=0;i--;x.fillRect(X*m,Y*m,1,1))[X,Y]=[X+((r=Math.random()*3|0)-X-Y*Y)/2,Y+(r%2-Y+X*Y)/2],x.fillStyle='#'+'F909F'.substr(r,3)

Aug 16 2019 3:21 AM UTC

}// 140/140

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d/15423

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taupelink

remix of d/15418 by u/taupelink

function u(t) {

r=Math.random;s=x.fillStyle=['Bisque','🦀'][n=0+!(frame%9)];x.font='9em"',x.fillText(s,r(z=2e3)*z,r(y=1080)*y);frame%360||(c.width|=0)

Aug 15 2019 1:01 PM UTC

}// 133/140

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Crab Bisque

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taupelink

remix of d/15376 by u/taupelink

function u(t) {

r={valueOf:Math.random};for(i=1e4;i--&&(t<.2);)x.fillStyle='#'+'6F9000003F'.substr(s=r*8|0,3),x.fillRect(r*2e3-9,r*1100-9,q=r*5*(2+1.5*s),q)

Aug 14 2019 2:50 AM UTC

}// 140/140

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d/15412

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taupelink

remix of d/15396 by u/taupelink

function u(t) {

r=Math.random;j=r(Y=r()*1300)*5|0;for(i=4;i--;x.fillRect(frame*2-200+25*i*(k=5-j),Y-50,75-15*j,20*k))x.fillStyle='#'+"FC309FC".substr(j,3)

Aug 13 2019 12:02 AM UTC

}// 138/140

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#waitforit

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taupelink

remix of d/15316 by u/taupelink

function u(t) {

for(i=1e3,d=e=f=0;i--;d+=((r=Math.random(l=.7)*7|0)-2-d+e*f*C(d)/2)*l,e+=(2-r%3-e+d*e*f/2)*l,f+=(r%2-f-d*e/18)*l)x.fillRect(d*640,e*405,1,1)

Aug 12 2019 5:43 PM UTC

}// 140/140

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Tree-like scene

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taupelink

remix of d/15408 by u/taupelink

function u(t) {

r={valueOf:Math.random};for(i=40;i--&&(t<1);)x.strokeStyle='#'+'0369CF'.substr(k=r*4|0,3),x.strokeRect(r*2e3-99,r*1200-99,q=k*r**2*50+9,q*4)

Aug 13 2019 11:52 PM UTC

}// 140/140

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d/15410

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taupelink

remix of d/15376 by u/taupelink

function u(t) {

r={valueOf:Math.random};for(i=99;i--&&(t<1);)x.fillStyle='#'+'6F0009FF'.substr(k=r*6|0,3),x.fillRect(r*2e3-99,r*1e3-99,q=r*(2+k)*30,q*(1+r))

Aug 13 2019 11:07 PM UTC

}// 140/140

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d/15408

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taupelink

remix of d/14962 by u/katkip

function u(t) {

c.width*=1;for(j=45;j--;){for(i=3;i--;)x.fillStyle=['navy','#900'][j%2],x.beginPath(),x.arc(i*960,1540,30*j,t*2+4+j,t*2+4.5+j),x.fill();}

Aug 11 2019 12:14 AM UTC

}// 137/140

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Adding a second color to https://www.dwitter.net/d/14962 , but mostly I want to draw attention to the original. Please go to the original and click Awesome!

u/katkip

Thx

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taupelink

remix of d/15380 by u/taupelink

function u(t) {

g=(a,b)=>b?g(b,a%b):a;f=()=>Math.random()*1e7|0;t||(m=n=0);n++;g(f(),f())-1||m++;x.fillRect(n%1920,1080*(1-m/n),1,1);throw m/n

Aug 11 2019 4:25 AM UTC

}// 126/140

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If you take two random integers of at most 7 digits each, what is the probability that they are relatively prime? This simulation suggests somewhere around 60%

u/taupelink

In the graph, the x-axis shows number of trials, modulo 1920 (i.e. with wraparound). The y-axis shows % of trials with GCD 1, with 0% at bottom and 100% at top.
u/taupelink

After a little Web searching: Under more general conditions, the precise answer appears to be 6/π^2, or about .608. See, e.g., https://www.cut-the-knot.org/m/Probability/T…
u/aleamb

#math

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taupelink

remix of d/14804 by u/taupelink

function u(t) {

f=X=>{for(i=2;i*i<=X;i++)if(X%i==0)return i+'*'+f(X/i);return X};frame%30||(c.width=200,q=f(k=Math.random()*1e9|0),x.fillText(k+'='+q,5,60))

Aug 11 2019 12:34 AM UTC

}// 140/140

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Factorization of a random integer into #prime products

u/aleamb

awesome! #math #numbers #primes

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